Zobrazeno 1 - 10
of 34
pro vyhledávání: '"81T40, 17B69"'
We give an equivalence of categories between: (i) M\"obius vertex algebras which are equipped with a choice of generating family of quasiprimary vectors, and (ii) (not-necessarily-unitary) M\"obius-covariant Wightman conformal field theories on the u
Externí odkaz:
http://arxiv.org/abs/2409.08454
Full Vertex Operator Algebras (full VOA) are extensions of two commuting Vertex Operator Algebras, introduced to formulate compact two-dimensional conformal field theory. We define unitarity, polynomial energy bounds and polynomial spectral density f
Externí odkaz:
http://arxiv.org/abs/2407.18222
Publikováno v:
Commun. Math. Phys. 395, 299-330 (2022)
We prove an equivalence between the following notions: (i) unitary M\"obius vertex algebras, and (ii) Wightman conformal field theories on the circle (with finite-dimensional conformal weight spaces) satisfying an additional condition that we call un
Externí odkaz:
http://arxiv.org/abs/2203.10795
Publikováno v:
Phys.Rev.D 105 (2022)
We investigate the unflavoured Schur indices of class $\mathcal S$ theories of modest rank, and in the case of $\mathcal{N}=4$ super Yang-Mills theory with special unitary gauge group of somewhat more general rank, with an eye towards their modular p
Externí odkaz:
http://arxiv.org/abs/2112.10715
Autor:
Beem, Christopher, Meneghelli, Carlo
Publikováno v:
Phys. Rev. D 104, 065015 (2021)
We present a free field realisation for the vertex operator algebra associated to the genus-two, class $\mathcal{S}$ superconformal field theory of type $\mathfrak{a}_1$. The free field realisation is in the style of recent work by the authors, and i
Externí odkaz:
http://arxiv.org/abs/2104.11668
We will partially classify spaces of characters of vertex operator algebras $V$ with central charges 8 and 16, such that the spaces of characters is 3-dimensional and the characters forms a basis of the solution space of a third order monic modular l
Externí odkaz:
http://arxiv.org/abs/1812.06357
Autor:
Kawahigashi, Yasuyuki
Publikováno v:
Proceedings of ICM 2018, Vol. III, 2597-2616
We present recent progress in theory of local conformal nets which is an operator algebraic approach to study chiral conformal field theory. We emphasize representation theoretic aspects and relations to theory of vertex operator algebras which gives
Externí odkaz:
http://arxiv.org/abs/1711.11349
Autor:
Beem, Christopher, Rastelli, Leonardo
Publikováno v:
JHEP 1808 (2018) 114
Every four-dimensional ${\cal N}=2$ superconformal field theory comes equipped with an intricate algebraic invariant, the associated vertex operator algebra. The relationships between this invariant and more conventional protected quantities in the s
Externí odkaz:
http://arxiv.org/abs/1707.07679
Autor:
Carnahan, Scott
Publikováno v:
Communications in Number Theory and Physics vol 12 no 2 (2018) 305-334
We show using Borcherds products that for any fixed-point free automorphism of the Leech lattice satisfying a "no massless states" condition, the corresponding cyclic orbifold of the Leech lattice vertex operator algebra is isomorphic to the Monster
Externí odkaz:
http://arxiv.org/abs/1707.02954
We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator superalgebras and of the classification of their modules in both the Neveu-Schwarz and Ramond sectors. For this, we combine the standard free field realisat
Externí odkaz:
http://arxiv.org/abs/1606.04187